I've tended to err on the side of riding it out. It's hard to wean down the meds once they've gone up. Obviously that depends on how bad things are though. How long do you have to wait to be seen at GOSH?
There seem to be basically two types of reactions that could make the reflux worse - the first is foods that just seem to trigger reflux or increase acid production - these would be ASW's "red" foods. The second is the proteins that can trigger allergic or non-IgE immune responses (mainly the MEWS proteins but also protein components in other foods) and you'll get a variety of signs with these which might include increased reflux as well as the other GI signs, congestion, skin rashes etc. Then there are children who seem to react badly to groups of foods that contain histamine (because they lack or have low levels of the enzyme to break it down) or latex (IgE allergy to a group of fruits/veg) all the way through to children who can't tolerate much food at all, probably for a variety of types of reactions.
Just to confuse matters further if the gut is inflammed and the reflux not controlled then you can get apparent reactions to any food at all.
It's all very complicated and I've heard of lots of people being told by dieticians that their child "can't be reacting" to foods that seem to trigger symptoms. It is just trial and error. You may find the "sticky" post in the top section interesting if you haven't already come across it, Food%2520intol-alergic%2520baby.html in particular the last section on introducing foods which suggests a scoring system and a time interval for retrying foods - so maybe you give carrot a score of "1" and try something else for a while?
Would go with your experience over what anyone says "ought" to be ok every time. We did a thread at one point and I couldn't name a single food that was ok for every baby on it, although there were the obvious repeat offenders! I think there are so many levels on which they could potentially have a reaction it makes it very difficult to say with any confidence that any food is "safe".